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Optimal upper bound of entropic uncertainty relation for mutually unbiased bases

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Cantürk, Bilal and Gedik, Zafer (2021) Optimal upper bound of entropic uncertainty relation for mutually unbiased bases. Physica A: Statistical Mechanics and Its Applications, 582 . ISSN 0378-4371

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Abstract

We have obtained the optimal upper bound of entropic uncertainty relation for N Mutually Unbiased Bases (MUBs). We have used the methods of variational calculus for the states that can be written in terms of N MUBs. Our result is valid for any state when N is d+1, where d is the dimension of the related system. We provide a quantitative criterion for the extendibility of MUBs based on entropic certainty relation. In addition, we have applied our result to information exclusion relation of (d+1) observables conditioned with a classical memory which can be used to detect the compatibility of the observables.
Item Type: Article
Uncontrolled Keywords: mutually unbiased bases, entropic uncertainty relation, variational calculus, mutually coherent states, entendibility of mutually unbiased bases
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Physics
Faculty of Engineering and Natural Sciences
Depositing User: Zafer Gedik
Date Deposited: 01 Sep 2021 02:05
Last Modified: 01 Sep 2022 12:48
URI: https://research.sabanciuniv.edu/id/eprint/41843

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